LMS not showing complete on Published

You can try explicitly declaring the learner's completion status using paired triggers:

Complete course as Incomplete/Failed
When the timeline starts on this slide
If <Boolean variable> = value False

Complete course as Completed/Passed
When the timeline starts on this slide
If <Boolean variable> = value True

Or, you can try submitting a completion status using Javascript:

var player = GetPlayer();

function findLMSAPI(win) {
     if (win.hasOwnProperty("GetStudentID")) return win;
     else if (win.parent == win) return null;
     else return findLMSAPI(win.parent);
}
var lmsAPI = findLMSAPI(this);

// SET STATUS
// Available Functions
// SCORM_SetFailed(), SCORM_SetPassed(), SCORM_SetCompleted(), SCORM_ResetStatus()
// These communicate with the SCORM element cmi.core.lesson_status, to set FAILED, PASSED, COMPLETED, or INCOMPLETE 

lmsAPI.SCORM_SetPassed();
lmsAPI.CommitData();